Math 521 (Finite Element Method)
- Course Details:
- Section 201, Spring 2014
- Lectures 11-12 MWF in room Math 104.
- Brian Wetton
- office: MATX 1107
- Office Hours:
- Mondays 10-11
- Wednesday 4-5
- Friday 4-5
- Assignment #3 posted, due March 3, 2014.
- Assignment #2 posted, due February 12, 2014.
- Course Resources:
- Course outline
- Course notes
from previous instructor, Dominik Schoetzau. There are several things bundled
together here. First are some notes on finite difference methods. Second
is a list of some FEM reference books. Then come several chapters on the
FEM, implementation and analysis.
- Course notes:
- Notes parts I & II
and sample MATLAB code for
problem #1. These notes
contain an introduction to finite difference methods. Corrections:
- In the middle of page 8 the expressions for q'' should have a term
f(b)-L(b) rather than f(b)-f(a).
- An example for the procedure of
that leads to the scaled problem #1 considered in the course.
- Some background notes on
Fourier Series and Transforms.
- Notes part III
describing some functional analysis that we will need to be able to
discuss the finite element method.
- Notes part IV
on the FEM in 1D and its convergence analysis.
- Notes part V
on implementing boundary conditions.
- Notes part VI
on quadrature methods.
- Notes part VII
on the finite element in 2D.
- Notes part VIII
on the error analysis of the FEM in 2D.
- Notes part IX
on the conjugate gradient method. These notes are a bit terse. For more
readable notes online, have a look at:
- Notes part X
on implementing boundary conditions in 2D.
- Notes part XI
on nonlinear problems.
- Notes part XII
on time stepping.
- Notes part XIII
on discretizations of Stokes flow.
- Assignment #1,
due Monday, January 27. In A1b you need to assume that the eigenvalues
are real. You can assume that A is symmetric to make this true.
- Assignment #2,
due Wednesday, February 12.
- Assignment #3,
due Monday, March 3.